{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Theses are different ways to display figures, depending on the\n",
    "# environment, some may work better or some not at all:\n",
    "%matplotlib inline\n",
    "# %matplotlib notebook\n",
    "# %matplotlib ipympl\n",
    "# %matplotlib widget\n",
    "#      widget, if installed and working, gives nicer inline plots\n",
    "# %matplotlib nbagg\n",
    "# Fix failing variable completion (for older installations):\n",
    "# %config Completer.use_jedi = False"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# First, Simplest Usecase\n",
    "\n",
    "Let's optimize a simple ellipsoid function, $\\sum_{i=1}^n 1000^{\\frac{i-1}{n-1}}x_i^2$, whose Hessian has a condition number of $10^6$:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(4_w,8)-aCMA-ES (mu_w=2.6,w_1=52%) in dimension 4 (seed=941922, Wed Jan  4 15:53:41 2023)\n",
      "Iterat #Fevals   function value  axis ratio  sigma  min&max std  t[m:s]\n",
      "    1      8 3.083357565904330e+05 1.0e+00 1.07e+00  1e+00  1e+00 0:00.0\n",
      "    2     16 7.616332044434681e+04 1.5e+00 1.05e+00  9e-01  1e+00 0:00.0\n",
      "    3     24 2.834668881931527e+05 1.7e+00 1.02e+00  9e-01  1e+00 0:00.0\n",
      "  100    800 2.654911094738190e-05 1.1e+03 6.33e-03  6e-06  7e-03 0:00.3\n",
      "  193   1544 1.711000780203772e-14 1.5e+03 1.86e-06  4e-11  6e-08 0:00.5\n",
      "termination on tolfun=1e-11 (Wed Jan  4 15:53:42 2023)\n",
      "final/bestever f-value = 1.211066e-14 7.291134e-15\n",
      "incumbent solution: [6.418654598126366e-08, -1.854372852189524e-09, -2.9967961582984774e-10, 8.215108158226536e-11]\n",
      "std deviation: [6.353867994401961e-08, 7.1051434016006706e-09, 7.954238347127679e-10, 4.065957764792841e-11]\n"
     ]
    }
   ],
   "source": [
    "# pip install cma  # outcomment in case the cma module is not installed\n",
    "import cma\n",
    "\n",
    "fun = cma.ff.elli  # we could use `functools.partial(cma.ff.elli, cond=1e4)` to change the condition number to 1e4\n",
    "x0 = 4 * [2]  # initial solution\n",
    "sigma0 = 1    # initial standard deviation to sample new solutions\n",
    "\n",
    "xopt, es = cma.fmin2(fun, x0, sigma0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The return values are\n",
    "- `x`, the best evaluated solution and\n",
    "- `es`, the `cma.CMAEvolutionStrategy` class instance used to run the optimization.\n",
    "\n",
    "The latter contains all available information about the run and the more complete return value under `es.result`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'xbest': array([-8.01615770e-08, -1.87666297e-09, -4.34433109e-11, -2.22305288e-11]),\n",
       " 'fbest': 7.291134448106484e-15,\n",
       " 'evals_best': 1485,\n",
       " 'evaluations': 1545,\n",
       " 'iterations': 193,\n",
       " 'xfavorite': array([ 6.41865460e-08, -1.85437285e-09, -2.99679616e-10,  8.21510816e-11]),\n",
       " 'stds': array([6.35386799e-08, 7.10514340e-09, 7.95423835e-10, 4.06595776e-11]),\n",
       " 'stop': {'tolfun': 1e-11}}"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dict(es.result._asdict())  # pretty print the named tuple as dictionary"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "termination on tolfun=1e-11\n",
      "final/bestever f-value = 7.291134e-15 7.291134e-15\n",
      "incumbent solution: [6.418654598126366e-08, -1.854372852189524e-09, -2.9967961582984774e-10, 8.215108158226536e-11]\n",
      "std deviation: [6.353867994401961e-08, 7.1051434016006706e-09, 7.954238347127679e-10, 4.065957764792841e-11]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "CMAEvolutionStrategyResult(xbest=array([-8.01615770e-08, -1.87666297e-09, -4.34433109e-11, -2.22305288e-11]), fbest=7.291134448106484e-15, evals_best=1485, evaluations=1545, iterations=193, xfavorite=array([ 6.41865460e-08, -1.85437285e-09, -2.99679616e-10,  8.21510816e-11]), stds=array([6.35386799e-08, 7.10514340e-09, 7.95423835e-10, 4.06595776e-11]), stop={'tolfun': 1e-11})"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "es.result_pretty()  # shows some pretty information and returns es.result"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Options and Plotting\n",
    "Let's plot some data from the optimization. The above call to `cma.fmin2` has (by default) written data to the default output folder `outcmaes`. These data will be overwritten each time the function is called again. To prevent this, we could set/change the output folder with the `verb_filenameprefix` option. An effective way to find out this kind of behavior is to query the [`CMAOptions`](https://cma-es.github.io/apidocs-pycma/cma.evolution_strategy.CMAOptions.html) with a search string and read the comments in the return \"value\"."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'signals_filename': 'cma_signals.in  # read versatile options from this file (use `None` or `\"\"` for no file) which contains a single options dict, e.g. ``{\"timeout\": 0}`` to stop, string-values are evaluated, e.g. \"np.inf\" is valid',\n",
       " 'verb_append': '0  # initial evaluation counter, if append, do not overwrite output files',\n",
       " 'verb_filenameprefix': 'outcmaes/  # output path (folder) and filenames prefix',\n",
       " 'verb_log': '1  #v verbosity: write data to files every verb_log iteration, writing can be time critical on fast to evaluate functions'}"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cma.CMAOptions('file')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plotting is as simple as"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "es.plot();  # cma.plot() does the same, as we just plot the data from the default output folder"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A description of the output is given in the caption of Figure 3 in [Hansen et al (2015): Evolution Strategies](https://hal.inria.fr/hal-01155533/file/es-overview-2015.pdf#page=17)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Options and Bound Constraints\n",
    "We can add a boundary condition on any variable. We can find out how to do this, as mentioned above, by investigating the available boundary related options:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'BoundaryHandler': 'BoundTransform  # or BoundPenalty, unused when ``bounds in (None, [None, None])``',\n",
       " 'bounds': '[None, None]  # lower (=bounds[0]) and upper domain boundaries, each a scalar or a list/vector'}"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cma.CMAOptions('bound')  # returns options that contain \"bound\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's bound the second variable from below to values $\\ge1$ using the `'bounds'` option. In this case, we must also take care that the initial solution is within the given bounds (it is, in our case). `'bounds'` is a list of two values, `[lower_bounds, upper_bounds]`, where `lower_bounds` and `upper_bounds` can be a scalar that applies to all variables or a list. If the list is shorter than the initial solution, the last value is applied to the remaining dimensions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(4_w,8)-aCMA-ES (mu_w=2.6,w_1=52%) in dimension 4 (seed=956232, Wed Jan  4 15:53:46 2023)\n",
      "Iterat #Fevals   function value  axis ratio  sigma  min&max std  t[m:s]\n",
      "    1      8 2.533265094959714e+05 1.0e+00 1.11e+00  1e+00  1e+00 0:00.0\n",
      "    2     16 6.375691450657661e+04 1.5e+00 1.18e+00  1e+00  1e+00 0:00.0\n",
      "    3     24 6.050518871599410e+04 1.4e+00 1.08e+00  1e+00  1e+00 0:00.0\n",
      "  100    800 1.000003739517441e+02 1.5e+03 8.02e-03  1e-05  1e-02 0:00.3\n",
      "  175   1400 9.999999999999997e+01 8.6e+02 7.25e-07  5e-11  4e-08 0:00.4\n",
      "termination on tolfun=1e-11 (Wed Jan  4 15:53:47 2023)\n",
      "final/bestever f-value = 1.000000e+02 1.000000e+02\n",
      "incumbent solution: [-7.023677609118879e-10, 1.0, 2.1175119612579668e-10, -3.5165291877836903e-12]\n",
      "std deviation: [4.0590750250970544e-08, 1.3074809146846032e-09, 3.5528224358312715e-10, 4.6131119376521286e-11]\n"
     ]
    }
   ],
   "source": [
    "xopt_b, es_b = cma.fmin2(fun, x0, sigma0, {'bounds': [[None, 1, None], None]})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "es.plot(xsemilog=True, x_opt=[0, 1] + (len(x0) - 2) * [0]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Rescaling of the Objective\n",
    "In a practical application, the encoding of variables is often essential to turn a _very_ difficult problem into less difficult one, see also [here](https://cma-es.github.io/cmaes_sourcecode_page.html#practical). The simplest encoding is a rescaling, which can easily be done via the [`cma.ScaleCoordinates`](https://cma-es.github.io/apidocs-pycma/cma.fitness_transformations.ScaleCoordinates.html) class. Again, the [`CMAOptions`](https://cma-es.github.io/apidocs-pycma/cma.evolution_strategy.CMAOptions.html) give the hint where to look."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'CMA_stds': 'None  # multipliers for sigma0 in each coordinate, not represented in C, better use `cma.ScaleCoordinates` instead',\n",
       " 'scaling_of_variables': 'None  # deprecated, rather use fitness_transformations.ScaleCoordinates instead (or possibly CMA_stds). Scale for each variable in that effective_sigma0 = sigma0*scaling. Internally the variables are divided by scaling_of_variables and sigma is unchanged, default is `np.ones(N)`'}"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cma.CMAOptions('scale')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We rescale the ellipsoid function to its most benign form. In dimension 4, this saves only about 30% of the necessary iterations."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(4_w,8)-aCMA-ES (mu_w=2.6,w_1=52%) in dimension 4 (seed=906959, Wed Jan  4 15:53:49 2023)\n",
      "Iterat #Fevals   function value  axis ratio  sigma  min&max std  t[m:s]\n",
      "    1      8 1.000671584179079e+01 1.0e+00 9.90e-01  9e-01  1e+00 0:00.0\n",
      "    2     16 3.609234173539827e+00 1.4e+00 1.15e+00  1e+00  1e+00 0:00.0\n",
      "    3     24 7.215280102789268e+00 1.3e+00 1.29e+00  1e+00  1e+00 0:00.0\n",
      "  100    800 6.101854230451936e-12 1.5e+00 7.85e-05  1e-06  2e-06 0:00.2\n",
      "  123    984 1.328563133415120e-14 1.8e+00 9.83e-06  7e-08  1e-07 0:00.2\n",
      "termination on tolfun=1e-11 (Wed Jan  4 15:53:49 2023)\n",
      "final/bestever f-value = 1.201740e-14 1.201740e-14\n",
      "incumbent solution: [2.1948732300203764e-08, 5.8198988376511446e-08, -8.112061180435376e-08, 3.95976773407993e-08]\n",
      "std deviation: [7.142380101255712e-08, 7.633270997281153e-08, 7.560497793122474e-08, 1.059742620242342e-07]\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fun2 = cma.ScaleCoordinates(fun, [1000**(-i / 3) for i in range(4)])\n",
    "xopt2, es2 = cma.fmin2(fun2, x0, sigma0)\n",
    "cma.plot();\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "On the 40-dimension ellipsoid function, the saving is much more substantial, namely a factor of about 6 to 7:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "xopt40, es40 = cma.fmin2(fun, 40 * [2], sigma0, {'verbose':-9})\n",
    "xopt0, es0 = cma.fmin2(cma.ScaleCoordinates(fun,\n",
    "                                            [1000**(-i / 39) for i in range(40)]),\n",
    "                       40 * [2], sigma0, {'verbose':-9})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1.0729174808445463e-14, 2.7695101639785635e-14, 6.653637069634999)"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "es40.result.fbest, es0.result.fbest, es40.result.evals_best / es0.result.evals_best"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Without covariance matrix adaptation, the saving from rescaling would be even _much_ more substantial, namely a factor of about $10\\,000$, which can be inferred from Figure 10 in [Hansen and Ostermeier (2001)](http://www.cmap.polytechnique.fr/~nikolaus.hansen/publications.html#hansenaost2001)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Advanced Options Settings\n",
    "#### Setting the step-size adaptation\n",
    "Apart from the default cumulative step-size adaptation, another competitive way to adapt the step-size is the two-point step-size adaptation, TPA, see Equations (6)-(8) in [Akimoto and Hansen (2016)](https://hal.inria.fr/hal-01306551)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'AdaptSigma': 'True  # or False or any CMAAdaptSigmaBase class e.g. CMAAdaptSigmaTPA, CMAAdaptSigmaCSA',\n",
       " 'CMA_dampsvec_fac': 'np.inf  # tentative and subject to changes, 0.5 would be a \"default\" damping for sigma vector update',\n",
       " 'CMA_dampsvec_fade': '0.1  # tentative fading out parameter for sigma vector update',\n",
       " 'CMA_stds': 'None  # multipliers for sigma0 in each coordinate, not represented in C, better use `cma.ScaleCoordinates` instead',\n",
       " 'CSA_squared': 'False  #v use squared length for sigma-adaptation ',\n",
       " 'scaling_of_variables': 'None  # deprecated, rather use fitness_transformations.ScaleCoordinates instead (or possibly CMA_stds). Scale for each variable in that effective_sigma0 = sigma0*scaling. Internally the variables are divided by scaling_of_variables and sigma is unchanged, default is `np.ones(N)`',\n",
       " 'tolupsigma': '1e20  #v sigma/sigma0 > tolupsigma * max(eivenvals(C)**0.5) indicates \"creeping behavior\" with usually minor improvements'}"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cma.CMAOptions('sigma')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(4_w,8)-aCMA-ES (mu_w=2.6,w_1=52%) in dimension 4 (seed=967939, Wed Jan  4 15:54:02 2023)\n",
      "Iterat #Fevals   function value  axis ratio  sigma  min&max std  t[m:s]\n",
      "    1      8 1.986285495587289e+06 1.0e+00 1.13e+00  1e+00  1e+00 0:00.0\n",
      "    2     16 1.007132970489063e+06 1.4e+00 1.39e+00  1e+00  1e+00 0:00.0\n",
      "    3     24 5.374298827416338e+04 1.5e+00 1.81e+00  2e+00  2e+00 0:00.0\n",
      "  100    800 3.869001381245537e-03 1.2e+03 2.09e-02  4e-05  4e-02 0:00.2\n",
      "  180   1440 2.436434105625448e-15 1.3e+03 3.74e-07  3e-11  4e-08 0:00.4\n",
      "termination on tolfun=1e-11 (Wed Jan  4 15:54:03 2023)\n",
      "final/bestever f-value = 1.081953e-15 1.081953e-15\n",
      "incumbent solution: [1.3111164006469204e-08, 5.215661980990102e-10, -2.8883123765669107e-10, 6.972266150868754e-12]\n",
      "std deviation: [3.9106284901035484e-08, 3.88020796891621e-09, 3.6626142453507706e-10, 2.977037215621355e-11]\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "xopt, es = cma.fmin2(fun, x0, sigma0,\n",
    "                     {'AdaptSigma': cma.sigma_adaptation.CMAAdaptSigmaTPA})\n",
    "cma.plot();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Without step-size adaptation, the \"final\" convergence stage of the optimization takes about 3 to 4 times longer (and the effect would become more pronounced in higher dimension):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(4_w,8)-aCMA-ES (mu_w=2.6,w_1=52%) in dimension 4 (seed=956193, Wed Jan  4 15:54:05 2023)\n",
      "Iterat #Fevals   function value  axis ratio  sigma  min&max std  t[m:s]\n",
      "    1      8 9.962147978848995e+05 1.0e+00 1.00e+00  9e-01  1e+00 0:00.0\n",
      "    2     16 1.842263725898031e+05 1.5e+00 1.00e+00  9e-01  1e+00 0:00.0\n",
      "    3     24 1.991067597542904e+05 1.8e+00 1.00e+00  9e-01  1e+00 0:00.0\n",
      "  100    800 3.786642039988560e-01 6.6e+02 1.00e+00  8e-04  5e-01 0:00.2\n",
      "  200   1600 2.902893196463774e-05 1.2e+03 1.00e+00  6e-06  6e-03 0:00.4\n",
      "  300   2400 5.047920004973993e-09 1.2e+03 1.00e+00  7e-08  8e-05 0:00.5\n",
      "  393   3144 1.255062214770326e-12 9.8e+02 1.00e+00  1e-09  1e-06 0:00.6\n",
      "termination on tolfun=1e-11 (Wed Jan  4 15:54:06 2023)\n",
      "final/bestever f-value = 2.937319e-13 2.937319e-13\n",
      "incumbent solution: [-3.990810719499113e-07, 9.938368156030944e-10, 3.5352947536469938e-09, 9.687263176486526e-11]\n",
      "std deviation: [9.705182229661881e-07, 9.251692713637309e-08, 7.793813819936797e-09, 9.599638347611575e-10]\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "xopt, es = cma.fmin2(fun, x0, sigma0, {'AdaptSigma': False})\n",
    "cma.plot();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Setting different learning rates\n",
    "A more research related option is the manual setting of learning rates. We can find the relevant options for the covariance matrix update like"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'CMA_diagonal': '0*100*N/popsize**0.5  # nb of iterations with diagonal covariance matrix, True for always',\n",
       " 'CMA_on': '1  # multiplier for all covariance matrix updates',\n",
       " 'CMA_rankmu': '1.0  # multiplier for rank-mu update learning rate of covariance matrix',\n",
       " 'CMA_rankone': '1.0  # multiplier for rank-one update learning rate of covariance matrix',\n",
       " 'tolconditioncov': '1e14  #v stop if the condition of the covariance matrix is above `tolconditioncov`'}"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cma.CMAOptions('covar')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If we want to run CMA-ES only with rank-$\\mu$ update, we set the learning rate for the rank-one update to zero. Then, to get a solution of the same quality on the 4-dimensional ellipsoid function, it takes on average about 15% more iterations."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(4_w,8)-aCMA-ES (mu_w=2.6,w_1=52%) in dimension 4 (seed=919867, Wed Jan  4 15:54:07 2023)\n",
      "Iterat #Fevals   function value  axis ratio  sigma  min&max std  t[m:s]\n",
      "    1      8 1.305959582460722e+05 1.0e+00 1.17e+00  1e+00  1e+00 0:00.0\n",
      "    2     16 2.919981942028197e+05 1.3e+00 1.31e+00  1e+00  1e+00 0:00.0\n",
      "    3     24 1.992732385013279e+05 1.4e+00 1.40e+00  1e+00  2e+00 0:00.0\n",
      "  100    800 1.035888133402810e+00 6.4e+02 1.62e-01  1e-03  6e-01 0:00.1\n",
      "  200   1600 4.955175471311136e-12 8.5e+02 3.09e-06  2e-09  2e-06 0:00.3\n",
      "  223   1784 1.134415969557662e-14 8.0e+02 3.21e-07  2e-10  1e-07 0:00.3\n",
      "termination on tolfun=1e-11 (Wed Jan  4 15:54:08 2023)\n",
      "final/bestever f-value = 1.174361e-14 1.134416e-14\n",
      "incumbent solution: [2.2799225989465336e-08, -1.4671046859603233e-09, -6.934343123145891e-10, 7.874044414644658e-11]\n",
      "std deviation: [1.282962636778195e-07, 1.4226878052254711e-08, 1.411813376746338e-09, 1.7411325636633782e-10]\n"
     ]
    }
   ],
   "source": [
    "xopt, es = cma.fmin2(fun, x0, sigma0, {'CMA_rankone': 0})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "cma.plot();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## See Also"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Other [`notebooks and recipes`](https://github.com/CMA-ES/pycma/tree/master/notebooks), as this one, can be found at [https://github.com/CMA-ES/pycma/tree/master/notebooks](https://github.com/CMA-ES/pycma/tree/master/notebooks)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "More `notebook-recipes` to come..."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": []
  }
 ],
 "metadata": {
  "interpreter": {
   "hash": "d63c44124e99970b36478bac7366f7234ff1cfabe1191de4da3d5c25c8ed9e11"
  },
  "kernelspec": {
   "display_name": "Python 3.7.6 64-bit ('base': conda)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.12"
  },
  "orig_nbformat": 4
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
